I started learning about group theory in my uni and I came across this question
How many group isomorphism of Z/3Z x Z/6Z → Z/3Z x Z/6Z are there ?
I know that there are 324 homomorphism (363*6) by deciding where (0,1) and (1,0) would go. But I just can not find a way to check how many isomorphis...
Given a point $A$, a circle $O$ and conic section $e$, if $BC$ is a moving chord of the circle $O$ tangent to $e$, then prove that
the locus of △$ABC$'s circumcenters $T$ is a conic section.
(Since my mother tongue is not English, if there is any unclear expression, just ask me!)
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Given a point $A$, a circle $O$ and conic section $e$, if $BC$ is a moving chord of the circle $O$ tangent to $e$, then prove that
the locus of △$ABC$'s circumcenters $T$ is a conic section.
(Since my mother tongue is not English, if there is any unclear expression, just ask me!)
